A severe blow to the head can cause one to lose consciousness; from this some people infer that consciousness is a product of the brain and cannot survive bodily death.
Conclusion
We would need more substantial evidence than the fact that blows to head cause people to lose consciousness to conclude that consciousness does not survive bodily death.
Evidence
A damaged radio may suddenly cease broadcasting the program it had been playing a second ago, but we don't conclude form this that the program itself has ceased to exist.
Evaluate
We can tell that our author is trying to rebut a position, because we see from this some people infer that X. But ...
As soon as we hit the "But", we can pause and think,
She presents an analogy to suggest that maybe it can. Maybe the human body is like a radio, and consciousness is just the show that the body is "receiving" (like an antenna). Damaging the body (just like damaging the radio) would cause the body to no longer be able to "broadcast" the consciousness program, but the program might still exist even though the body can no longer broadcast it.
Goal
The question stem is asking about the damaged radio, which is part of the analogy the author uses to support her rebuttal.
In the analogy, the damaged radio is akin to the damaged head from the first sentence.